ON THE RESOLVENT OF THE LAPLACE-BELTRAMI OPERATOR IN HYPERBOLIC SPACE
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Date
2015
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Publisher
Cambridge Univ Press
Abstract
In this paper, a detailed description of the resolvent of the Laplace-Beltrami operator in n-dimensional hyperbolic space is given. The resolvent is an integral operator with the kernel (Green's function) being a solution of a hypergeometric differential equation. Asymptotic analysis of the solution of this equation is carried out.
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Keywords
hyperbolic space, Laplace-Beltrami operator, Green's function, resolvent
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0
WoS Q
Q3
Scopus Q
Q2
Source
Volume
99
Issue
2
Start Page
186
End Page
206